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Art [367]
3 years ago
6

}{5} y=32\\" align="absmiddle" class="latex-formula">
what is y
Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

so the answer is.. 40

hope it is helpfull..

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What two numbers can add to 4 but multiple to -12
olasank [31]

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

x+y=4\qquad\qquad [1]

x.y=-12\qquad\qquad [2]

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y=4-x

Substituting in [2]

x(4-x)=-12

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4x-x^2=-12

Rearranging:

x^2-4x-12=0

Solving with the quadratic formula:

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

With a=1, b=-4, c=-12:

\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}

\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}

\displaystyle x=\frac{4\pm 8}{2}

The solutions are:

\displaystyle x=\frac{4+ 8}{2}=6

\displaystyle x=\frac{4- 8}{2}=-2

This confirms the preliminary results.

Numbers: 6 and -2

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3 years ago
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Eight less than four times the number c is twenty.<br> What is the value of c?
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Answer:

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Step-by-step explanation:

The problem says that 8 less than 4 times c is less than twenty, so we can first show 8 less than 20.

4c -( I did this because it said 4 times the number c)

Then, we show 8 less than that.

4c-8

It says it is twenty, and that means it equals twenty.

4c-8=20

Now we solve!

4c-8=20

   +8  +8

*we add 8 to both sides*

4c=28

*we divide both sides by 4 since we want to isolate c*

c=28/4

c=7

I hope this helped!

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